| SHAPEI PRESERVING PIECEWISE CUBIC INTERPOLATION |
| |
| 作者姓名： | LuoYANG ZHUHUIYAN |
| |
| 摘 要： | This paper presents a C^1-interpolation which preserves convexity to scattered convex data. The interpolant is local and explicitly described. The interpolating function si(x) is C^2 on each interval (xi, xi 1). Error will be O(h^2) when the function to he interpolated is C^3.
|
| 关 键 词： | 三次保值分段样条插值 G^1-插补 凸性 离散凸数据 |
| 收稿时间： | 19 November 1994 |
Shape preserving piecewise cubic interpolation |
| |
| LuoYANG ZHUHUIYAN.SHAPEI PRESERVING PIECEWISE CUBIC INTERPOLATION[J].Applied Mathematics A Journal of Chinese Universities,1996,11(4):419-424. |
| |
| Authors: | Luo Yang Zhu Huiyan |
| |
| Institution: | (1) Department of Basic Science, Central-South Institute of Technology, 421001 Henyang |
| |
| Abstract: | This paper presents aC
1-interpolation which preserves convexity to scattered convex data. The interpolant is local and explicitly described. The
interpolating function si(x) is C2 on each interval(@#@ xi,xi+1
@#@). Error will beO(h2) when the function to be interpolated is C3.
1991MR Subject Classification: 65D05,65Y25. |
| |
| Keywords: | Shape preserving interpolation Bernstein polynomial |
| 本文献已被 维普 SpringerLink 等数据库收录！ |
